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Fractal structures and multiparticle effects in soliton scattering
S V Dmitriev1, Y S Kivshar, T Shigenari
1Department of Applied Physics and Chemistry, University of Electro-Communications, Chofu-shi, Tokyo 182-8585, Japan.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 12, 2001
Abstract:
We study in detail the interaction of composite solitary waves and consider, as an example, the breather collisions in a weakly discrete sine-Gordon equation. We reveal a physical mechanism of fractal soliton scattering associated with multiparticle effects, and demonstrate chaotic interaction of two breathers with incommensurable frequencies.